On The Reformulated Zagreb Coindex

Year 2019, Issue: 28, 28 - 32, 07.05.2019

Gülistan Kaya Gök

Abstract

The reformulated Zagreb coindex of G is specied the degrees d_i The reformulated Zagreb coindex of G is specied the degrees d_i    and dj . This paper includes some inequalities for the reformulated Zagreb index  and reformulated Zagreb coindex. Also, some bounds are reported consepting the eigenvalues and complement of eigenvalues. and d_j . This paper includes some inequalities for the reformulated Zagreb index and reformulated Zagreb coindex. Also, some bounds are reported consepting the eigenvalues and complement of eigenvalues.

Keywords

Reformulated Zagreb index, Coindex

References

• S. Büyükköse, G. Kaya Gok, Graf Teoriye Giris, Nobel Akademik Yayıncılık Egitim DanışmanlıkTic.Ltd.Sti, Ankara (2018).
• K.C. Das, P. Kumar, Some new bounds on the spectral radius of graphs, Discrete Mathematics281 (2004) 149-161.
• I. Gutman, B. Furtula, Z. K. Vukicevic, G. Popivoda, On Zagreb Indices and Coindices, MATCHCommun. Math. Comput. Chem. 74 (2015) 5-16.
• R. A. Horn, C. R. Johnson, Matrix Analysi, Cambridge University Press, New York (1985).
• S. Hossein-Zadeh, A. Hamzeh and A. R. Ashra, Extremal Properties of Zagreb Coindices andDegree Distance of Graphs, Miskolc Mathematical Notes 11(2) (2010) 129-137.
• A. Ilic, D. Stevanovic, On Comparing Zagreb indices, MATCH Commun. Math. Comput. Chem.62(3) (2009) 681-687.
• A. Milicevic, S. Nikolic and N. Trinajstic, On reformulated Zagreb indices, Mol. Diversity 8 (2004)393-399.
• S. Sorgun and S. Büyükköse, The new upper bounds on the spectral radius of weighted graphs,Applied Mathematics and Computation 218 (2012) 5231-5238.